{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import seaborn as sns\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.tree import DecisionTreeClassifier, plot_tree\n",
    "\n",
    "\n",
    "penguins = sns.load_dataset('penguins')\n",
    "penguins.dropna(inplace = True)\n",
    "penguins['male'] = 1*(penguins['sex'] == 'MALE')\n",
    "X_df = penguins.drop(columns = ['species','island','sex']).rename(columns = {'culmen_length_mm':'bill_length',\n",
    "                                                               'culmen_depth_mm':'bill_depth',\n",
    "                                                               'body_mass_g':'body_mass',\n",
    "                                                                            'flipper_length_mm':'flipper_length'})\n",
    "X = np.array(X_df)\n",
    "y = np.array(penguins['species'])\n",
    "\n",
    "\n",
    "clf = DecisionTreeClassifier(max_depth = 2)\n",
    "clf.fit(X, y);\n",
    "\n",
    "fig, ax = plt.subplots(figsize = (12,8))\n",
    "plot_tree(clf,\n",
    "          max_depth = 2,\n",
    "          feature_names = X_df.columns,\n",
    "          impurity = False,\n",
    "          class_names = np.unique(y),\n",
    "          rounded = True,\n",
    "          fontsize = 14,\n",
    "          filled = True,\n",
    "         );"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
